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Finding the Third Proportional to 257,067 and 573,750

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Solution

The third proportional to 257,067 and 573,750 is: 1,280,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,067 : 573,750 = 573,750 : x
  2. Step 2: Convert to fraction form
    257,067/573,750 = 573,750/x
  3. Step 3: Cross multiply
    257,067x = 573,750 × 573,750
  4. Step 4: Simplify right side
    257,067x = 329,189,062,500
  5. Step 5: Solve for x
    x = 329,189,062,500/257,067
  6. Step 6: Final answer
    x = 1,280,557.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.